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BPRIME Grades 10 to 12
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BPRIME Grades 10 to 12

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  • 1. Summarizing Changes in the New Manitoba Mathematics 10-12 Curriculum Trades and Consumer Workplace Math Mathematics Fundamentals New Names Applied of Mathematics New Content Math New Focus Pre-Cal Mathematics Math for Sciences Title: May 14-1:03 AM (1 of 11)
  • 2. The Various Interpretations/Meanings Associated with Rational Numbers infinite equivalent common fractions (1/2, 2/4, etc) fraction infinite equivalent decimal fractions decimal percent (0.25, 0.250, etc) grounded in multiplicative reasoning with multiple representations measurements multiplicative operator 3/4 as a ratio 3/4 as a part-whole (3/7 as the part- relation whole relation) quot;multiplication 3/4 as a quotient always(?) makes (division) things biggerquot; Title: May 14-2:05 AM (2 of 11)
  • 3. The Various Interpretations/Meanings Associated with Rational Numbers infinite equivalent common fractions (1/2, 2/4, etc) fraction infinite equivalent decimal fractions decimal percent (0.25, 0.250, etc) grounded in multiplicative reasoning with multiple representations measurements multiplicative operator 3/4 as a ratio 3/4 as a part-whole (3/7 as the part- relation whole relation) quot;multiplication 3/4 as a quotient always(?) makes (division) things biggerquot; Title: May 14-2:05 AM (3 of 11)
  • 4. Changes in Content Related to Rationals ... Fundamentals Applied of Mathematics Math Grade 10 ? New Names 1 Course Pre-Cal Mathematics Math for Sciences • 2D/3D Projects • Trigonometry • Data Management/Analysis - Proportional Reasoning and New Content Conversions New Focus - Irrational Numbers • Trigonometry - Partial & Direct Variation • Geometry • Rational Expressions • Rational Equations • Statistics and Probability Title: May 14-1:18 AM (4 of 11)
  • 5. Changes in Content Related to Rationals ... Grade 11 Fundamentals Applied New Name of Mathematics Math - Measuring Instruments , error - rate problems, proportional • Non-Linear Functions reasoning and scale diagrams • Personal Finance - the effect of change in linear • Systems of Equations New Content scale factors • Linear Programming New Focus - laws of sines and cosines • Budgets and Investments - interpret assess odds and • Data Management and Analysis probability statements used in • Precision Measurement the media • Geometry - interpret statistical data in the media (confidence intervals, confidence levels and margin of error) Title: May 14-1:18 AM (5 of 11)
  • 6. Changes in Content Related to Rationals ... Grade 12 Fundamentals Applied New Name of Mathematics Math - credit, interest • Matrix Modeling - leasing, buying or renting • Vectors - investment portfolio • Personal Finance - mathematical strategies to New Content • Probability solve puzzles and games New Focus • Variability and Statistical - independent/dependent Analysis events, mutually exclusive and • Design and Measurement complimentary events, • Applications of Periodic conditional probability Functions - problems with permutations • Sequences and combinations Title: May 14-1:18 AM (6 of 11)
  • 7. Changes in Content Related to Rationals ... Grade 11 Mathematics Pre-Cal for Sciences New Name Math • Quadratic Functions - primary trig ratios • Trigonometry - laws of sine and cosine • Analytic Geometry - inverse relations New Content • (Circle) Geometry - arithmetic/geometric New Focus • Consumer Math sequences and series • Logic/Proof - reciprocal functions • Functions Title: May 14-1:18 AM (7 of 11)
  • 8. Changes in Content Related to Rationals ... Grade 12 Mathematics Pre-Cal for Sciences New Name Math - primary trig ratios - graph/analyse trig functions - solve trig equations (first & • Circular Functions second degree) • Transformations - trig identities • Trigonometric Identities New Content - +, -, x, quotient of functions • Exponents & Logarithms New Focus - horizontal and vertical • Permutations/Combinations stretches & Binomial Theorem - equivalent forms and • Conics operations on rational • Probability expressions • Geometric Sequences - graph/analyze rational • [Statistics] functions; rational equations and problems Title: May 14-1:18 AM (8 of 11)
  • 9. Changes in Content Related to Rationals ... Grade 10 Trades and Consumer Workplace New Name Math Mathematics - develop a project plan for the design of an object and create a model - demo understanding of SI & • Problem Analysis Imp systems by describing • Analysis of Games and rel. btw. units (length, area, Numbers volume, mass, temp) • Spreadsheets New Content comparing units and applying • Wages and Salaries New Focus conversion strategies • Trigonometry - solve linear and ara • Spatial Geometry problems in SI and Imp • Consumer Decisions systems • Geometry Project - demo understanding of • Personal Banking similar polygons • Probability and Sampling - solve problems using trig ratios - proportional reasoning Title: May 14-1:18 AM (9 of 11)
  • 10. Changes in Content Related to Rationals ... Grade 11 Trades and Consumer Workplace New Name Math Mathematics - Develop project plan for • Problem Analysis design & creation of model • Analysis of Games and of object Numbers - solve problems using unit • Relations and Formulas analysis • Income and Debt New Content - solve problems involving New Focus • Data Analysis and oblique triangles and angles Interpretation - personal budgets • Measurement Technology - investments/financial • Owning and Operating a decisions Vehicle - purchase a vehicle • Personal Income Tax - manipulate formulas • Applications of Probability - solve problems involving slope Title: May 14-1:18 AM (10 of 11)
  • 11. Changes in Content Related to Rationals ... Grade 12 Trades and Consumer Workplace New Name Math Mathematics - Develop project plan for design & creation of model of object - demo understanding of • Problem Analysis limitations of measuring • Analysis of Games and instruments Numbers - solve problems involving • Personal Finance dilatations • Design and Measurement - solve problems involving New Content • Government Finance scale New Focus • Statistics - solve direct, partial and • Investigative Project inverse variation problems • Career/Life Project - measures of central • Investments tendency • Income Tax - std dev. and the normal • Variation and Formulas curve • Completing a Portfolio - percentiles - probability Title: May 14-1:18 AM (11 of 11)

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